Correlations of density fluctuations: Correlations of density fluctuations: From star radius to analog Hawking radiationFrom star radius to analog Hawking radiation

Iacopo CarusottoINO-CNR BEC Center and Università di Trento, Italy

In collaboration with:● Alessio Recati (INO-CNR BEC Center, Trento, Italy )● Serena Fagnocchi and Roberto Balbinot ( Università di Bologna, Italy )● Alessandro Fabbri and Carlos Mayoral ( IFIC - Univ. de Valencia and CSIC, Spain )● Nicolas Pavloff and Renaud Parentani ( Université Paris-Sud, Orsay, France )

IX SIGRAV school on Analogue Gravity, Como, May 16-21, 2011

From: R. Hanbury-Brown and R. Q. Twiss, Nature 178, 1046 (1956)

From: Friberg, Hong, Mandel, PRL 54, 2011 (1985)

From: Foelling, Gerbier, Widera, Mandel, Gericke, Bloch, Nature 434, 481 (2005)

IC, S.Fagnocchi, A.Recati, R.Balbinot, A.Fabbri, New J. Phys. 10, 103001 (2008)

Density correlations: the movieDensity correlations: the movie

(ii) Dynamical

Casimiremission

(iii) Hawkingin / out

(iv)Hawking

in / in

(i) Many-body

antibunching

Density plot of : (n ξ1) * [ G(2)(x,x') – 1 ]

IC, S.Fagnocchi, A.Recati, R.Balbinot, A.Fabbri, New J. Phys. 10, 103001 (2008)

A snapshot of density correlationsA snapshot of density correlations

(ii) Dynamical

Casimiremission

(iii) Hawkingin / out

(iv)Hawking

in / in

(i) Many-body

antibunching

Density plot of : (n ξ1) * [ G(2)(x,x') – 1 ]

IC, S.Fagnocchi, A.Recati, R.Balbinot, A.Fabbri, New J. Phys. 10, 103001 (2008)

Stimulated Hawking radiation at finite TStimulated Hawking radiation at finite T

Prediction of QFT in curved space-time

Proportional to emission temperatureProportional to surface gravity

Curved-QFT prediction quantitatively correct in hydrodynamic limit ξ1 / σ

x « 1

Significant discrepancies for strong surface gravity

Quantitative analysisQuantitative analysis

Bogoliubov dispersion: black hole caseBogoliubov dispersion: black hole case

Formation of black hole at potential barrierFormation of black hole at potential barrier

N. Pavloff, A. Recati, IC, in preparation (2011)

Formation of black hole at potential barrierFormation of black hole at potential barrier

N. Pavloff, A. Recati, IC, in preparation (2011)

Intensity of HR can be calculated with inverse scattering techniques

Bogoliubov dispersion: white hole caseBogoliubov dispersion: white hole case

Bogoliubov-Cerenkov wakeBogoliubov-Cerenkov wake

Exp: A.Amo, J.Lefrère, S.Pigeon, C.Adrados, C.Ciuti, IC, R. Houdré, E.Giacobino, A.Bramati, Nature Phys. 5, 805 (2009);Th: IC and C. Ciuti, PRL 93, 166401 (2004).

C. Mayoral, A. Recati, A. Fabbri, R. Parentani, R. Balbinot, I. Carusotto, Acoustic white holes in flowing atomic Bose-Einstein

condensates, New J. Phys. 13, 025007 (2011)

C. Mayoral, A. Recati, A. Fabbri, R. Parentani, R. Balbinot, I. Carusotto, Acoustic white holes in flowing atomic Bose-Einstein

condensates, New J. Phys. 13, 025007 (2011)

C. Mayoral, A. Recati, A. Fabbri, R. Parentani, R. Balbinot, I. Carusotto, New J. Phys. 13, 025007 (2011)